Abstract
In this Letter, some Virasoro integrable models are obtained by means of the realizations of the generalized centerless Virasoro type symmetry algebra, [σ(f 1),σ(f 2)]=σ( f ̇ 2f 1− f ̇ 1f 2) . Two of them are (3+1)-dimensional extensions of the Nizhnik–Novikov–Veselov equation and breaking soliton equation. Some special type of high-dimensional soliton solutions like the camber solitons, multiple ring solitons and multiple dromion solutions for the breaking soliton equation is discussed. The interaction between two ring solitons is completely elastic. Whether the method can be used to find some (3+1)-dimensional models integrable by the inverse scattering transformation remains still open.
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